Hostname: page-component-8448b6f56d-wq2xx Total loading time: 0 Render date: 2024-04-23T22:37:42.991Z Has data issue: false hasContentIssue false
  • English
  • Français

Discrete Models for Particle Packings

Published online by Cambridge University Press:  26 February 2011

A. Jagota  and
E.I. Dupont
A. Jagota
Affiliation:
de Nemours & Co., E356/347 Experimental Station, Wilmington, Delaware 19880-0356.
E.I. Dupont
Affiliation:
de Nemours & Co., E356/347 Experimental Station, Wilmington, Delaware 19880-0356.
Get access

Abstract

Discrete computational models for the viscosities, sintering rates, and transport properties of sintering particle packings are presented. The packing is represented by a set of nodes (the particle centroids) connected by links (inter-particle contacts). The models for the mechanical behavior enforce equilibrium for each particle which leads to a set of simultaneous equations for the particle motion. Electrical or thermal transport through inter-particle contacts is modelled by imposing zero net flux at a node which also leads to a set of simultaneous equations for the value of potential at each particle center. The model is used to simulate the compaction of spheres to generate a threedimensional random packing. Statistical properties of the computed packing such as packing fraction, percolation threshold, and coordination number are compared with those of an experimental random packing. Results are also presented for the effective conductivity of mixtures of particles with very different conductivities.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 278: Symposium W – Computational Methods in Materials Science , 1992 , 293
Copyright
Copyright © Materials Research Society 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Jagota, A., Mikeska, K., Bordia, R.K., J. Amer. Ceram. Soc. 73 [8] 2266–2273 (1990).Google Scholar
[2] Cundall, P.A., Jenkins, J.T., Ishibashi, I., Proc. Int. Conf. on Micromechanics of Granular Media, Biarez, J., Gourvës, R. (ed.), 319–322, Balkema (1989).Google Scholar
[3] Finney, J.L., J. de Phys., C2 [4] C2–1 (1975).Google Scholar
[4] Stauffer, D., Introduction to Percolation Theory, Taylor and Francis(London) (1985).Google Scholar
[5] Limat, L., Phys. Rev. B 40 [13] 9253–9268 (1989).Google Scholar
[6] Scherer, G.W., Jagota, A., in Ceram. Trans., Composites: Processing, Microstructure, and Properties, edited by Sacks, M., American Ceramic Society, Westerville OH, 99–109 (1991).Google Scholar
[7] Jagota, A., Boyes, E.D., Bordia, R.K., Symposium on Synthesis and Processing of Ceramics: Scientific Issues, Fall MRS Meeting, Boston (1991).Google Scholar
[8] Jagota, A., to appear in Proc. Symp. on sintering and granular materials, ASME winter annual meeting (1992).Google Scholar
[9] Jagota, A., Dawson, P.R., Acta Metall. 36 [9] 2563–2573 (1988).Google Scholar
[10] Mindlin, R.D., J. App. Mech. 71 259–268 (1949).Google Scholar
[11] Jagota, A., Hui, C-Y., J. App. Mech. 57 789–791 (1990).Google Scholar
[12] Marion, D., Nur, A., Physica A 157 575–579 (1989).Google Scholar
[13] Onoda, G.Y., Liniger, E.G., Phys. Rev. Lett. 64 [22] 2727–2730 (1990).Google Scholar
[14] Medvedev, N.N., Geiger, A., Brostow, W., J. Chem. Phys. 93 [11] 8337–8342 (1990).CrossRefGoogle Scholar
[15] Frost, H.J., Acta Metall. 30 889–904 (1982).Google Scholar
[16] Tassopoulos, M. Rosner, M.D.E., AICHE Journal, in press (1992).Google Scholar
[17] Brostow, W., Dussault, J-P., Fox, B.L., J. Comp. Phys. 29 81–92 (1978).CrossRefGoogle Scholar
[18] Scott, G.D., Nature 188 908–909 (1960).Google Scholar
[19] Fitzpatrick, J.P., Malt, R.B., Spaepen, F., Phys. Lett. 47A [3] 207–208 (1974).CrossRefGoogle Scholar
[20] Frith, W.J., Buscall, R., J. Chem. Phys. 95 [8] 5983–5989, (1991).Google Scholar
[21] McLachlan, D.S., Blaszkiewicz, M. Newnham, M.R.E. J. Amer. Ceram. Soc. 73 [8] 2187–2203 (1990).Google Scholar